Search a number
-
+
9316125 = 325372132
BaseRepresentation
bin100011100010…
…011100011101
3122112022022200
4203202130131
54341104000
6531402113
7142120500
oct43423435
918468280
109316125
115293385
123153339
131c12500
141347137
15c40500
hex8e271d

9316125 has 108 divisors (see below), whose sum is σ = 21154068. Its totient is φ = 3931200.

The previous prime is 9316117. The next prime is 9316129. The reversal of 9316125 is 5216139.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9316125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6563844 + 2752281 = 2562^2 + 1659^2 .

It is not a de Polignac number, because 9316125 - 23 = 9316117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9316129) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 716619 + ... + 716631.

It is an arithmetic number, because the mean of its divisors is an integer number (195871).

Almost surely, 29316125 is an apocalyptic number.

It is an amenable number.

9316125 is an abundant number, since it is smaller than the sum of its proper divisors (11837943).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9316125 is a wasteful number, since it uses less digits than its factorization.

9316125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 9316125 is about 3052.2327892872. The cubic root of 9316125 is about 210.4158426701.

Multiplying 9316125 by its product of digits (1620), we get a square (15092122500 = 1228502).

It can be divided in two parts, 931 and 6125, that added together give a square (7056 = 842).

The spelling of 9316125 in words is "nine million, three hundred sixteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 75 91 105 117 125 147 169 175 195 225 245 273 315 325 375 441 455 507 525 585 637 735 819 845 875 975 1125 1183 1225 1365 1521 1575 1625 1911 2205 2275 2535 2625 2925 3185 3549 3675 4095 4225 4875 5733 5915 6125 6825 7605 7875 8281 9555 10647 11025 11375 12675 14625 15925 17745 18375 20475 21125 24843 28665 29575 34125 38025 41405 47775 53235 55125 63375 74529 79625 88725 102375 124215 143325 147875 190125 207025 238875 266175 372645 443625 621075 716625 1035125 1330875 1863225 3105375 9316125